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Finding the Fourth Proportional to 78,749.76, 108,687.14 and 46,937.12

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Solution

The fourth proportional to 78,749.76, 108,687.14 and 46,937.12 is: 64,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,749.76 : 108,687.14 = 46,937.12 : x
  2. Step 2: Convert to fraction form
    78,749.76/108,687.14 = 46,937.12/x
  3. Step 3: Cross multiply
    78,749.76x = 108,687.14 × 46,937.12
  4. Step 4: Simplify right side
    78,749.76x = 5,101,461,332.64
  5. Step 5: Solve for x
    x = 5,101,461,332.64/78,749.76
  6. Step 6: Final answer
    x = 64,780.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.